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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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In Exercises 1-9, find the indefinite integral.

( 1  + 2 t ) t 3 / 2   d t

To determine

To calculate: The value of the provided indefinite integral (1+2t)t32dt.

Explanation

Given Information:

The provided indefinite integral is (1+2t)t32dt.

Formula Used:

According to the general power rule for integration,

If u is a differentiable function of x, then

undu=un+1n+1+C,

Where n1

Calculation:

Consider the indefinite integral say I,

I=(1+2t)t32dt

Above integral can be written as

I=(t32+(2t)t32)dt=(t32+2t52)dt

Or

I=

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